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Mathematics

A rectangular room is 9 m long and 6 m wide. Find the cost of covering the floor with carpet 2 m wide at ₹ 350 per metre.

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Answer

Given:

Length of room = 9 m

Breadth of room = 6 m

Width of carpet = 2 m

Rate of carpet = ₹ 350 per metre

Area of the floor = length × breadth

= 9 × 6 sq. m

= 54 sq. m

Area of carpet = Area of floor (since the carpet exactly covers the floor) = 54 sq. m

Length of carpet = Area of carpetWidth of carpet\dfrac{\text{Area of carpet}}{\text{Width of carpet}}

= 542\dfrac{54}{2}

= 27 m

Cost of carpet = Length × Rate

= 27 × 350

= ₹ 9450

Hence, the cost of covering the floor with carpet is ₹ 9450.

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